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20192026
most citedLong time asymptotic analysis for a nonlocal Hirota equation via the Dbar steepest descent method

1 citations · 1 across the 5 of their papers we have counts for

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5 papers

math.PR2026

Compressible stochastic fluid--structure interaction with transport noise and Navier slip: A stochastic-flow approach

Chen Yong, Gao Hongjun

This paper establishes the existence of local martingale solutions for a three-dimensional stochastic fluid--structure interaction (FSI) problem coupling a viscous compressible ise…

math.PR2023

Modulation analysis of the stochastic Camassa-Holm equation with pure jump noise

Yong Chen, Jinqiao Duan, Hongjun Gao +1

We study the stochastic Camassa-Holm equation with pure jump noise. We prove that if the initial condition of the solution is a solitary wave solution of the unperturbed equation,…

math.AP2022

stochastic Leray-α model of Euler equations

Yong Chen, Yuanyuan Gong

We study the stochastic Leray-α model of Euler equations with transport noise. We first use weak convergence approach to show the large deviations of the stochastic Leray-α model o…

math.AP2022★ 1 cited

Long time asymptotic analysis for a nonlocal Hirota equation via the Dbar steepest descent method

Jin-yan Zhu, Yong Chen

In this paper, we mainly focus on the Cauchy problem of an integrable nonlocal Hirota equation with initial value in weighted Sobolev space. Through the spectral analysis of Lax pa…

math.AP2019

Global Solution and Blow-up of the Stochastic Nonlinear Schrödinger system

Qi Zhang, Jinqiao Duan, Yong Chen

We study the stochastic Nonlinear Schrödinger system with multiplicative white noise in energy space . Based on deterministic and stochastic Strichartz estimates, we prove the…